Mauk, subbing for injured starter James Franklin, tossed for 295 yards with an interception on 18-of-36 efficiency as the Tigers (7-0, 3-0 SEC) forged a two-game lead atop the SEC Eastern Division.
Henry Josey ran the ball 18 times for 136 yards and a touchdown in the victory.
The Gators (4-3, 3-2), meanwhile, dropped a second straight as Tyler Murphy was held to just 92 passing yards on 15-of-29 passing with an interception.
Kelvin Taylor ran for Florida's only offensive touchdown, finishing with 74 rushing yards on 12 carries.
Swim Week Miami Beach 2014 [PHOTOS]